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Finding the Fourth Proportional to 225.60, 338.00 and 203.00

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Solution

The fourth proportional to 225.60, 338.00 and 203.00 is: 304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 338.00 = 203.00 : x
  2. Step 2: Convert to fraction form
    225.60/338.00 = 203.00/x
  3. Step 3: Cross multiply
    225.60x = 338.00 × 203.00
  4. Step 4: Simplify right side
    225.60x = 68,611.30
  5. Step 5: Solve for x
    x = 68,611.30/225.60
  6. Step 6: Final answer
    x = 304.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.